Output tracking of time-delay Hamiltonian descriptor systems under saturation constraints

Wang, Gaoran; Sun, Weiwei

doi:10.1016/j.jfranklin.2022.02.011

Cited by 6 publications

(7 citation statements)

References 42 publications

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“…From ( 13), (14), and s = x s1 + cx s2 , it can be known that the tracking error x s1 , the velocity error x s2 , and the parameter estimation error θ are globally uniformly bounded. Because θ = ϑ − θ, the estimated parameter θ is also globally uniformly bounded.…”

Section: Controllers Design a Adaptive Sliding Mode Controller Designmentioning

confidence: 99%

“…In recent years, sliding mode control (SMC) [11], [12] and port-controlled Hamiltonian (PCH) control [13], [14] have been applied to the control of power systems and have achieved remarkable results. The PCH control design is relatively simple and has good control effect in terms of control accuracy and system stability, but there exists slow dynamic response speed and poor real-time performance [15].…”

Section: Introductionmentioning

confidence: 99%

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Anti-Saturation Coordination Control of Permanent Magnet Synchronous Wind Power System

Sun

Chen

et al. 2023

IEEE Access

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This paper is concerned with the anti-saturation control problem of a permanent magnet synchronous wind power system. By virtue of adaptive sliding mode control method and port-controlled Hamiltonian (PCH) control method, a new coordination controller is designed, which removes the input saturation effects and compensates the uncertainties of system model parameters. The controller takes the exponential function with parameters as the coordination function. By adjusting the parameters of coordination function, the designed coordination controller can respond to input saturation more quickly and improve the system's dynamic performance. The effectiveness of the proposed strategy is demonstrated through simulations. The comparison results with the traditional control approach are also presented. It is shown that the proposed strategy can realize the speed tracking control of the generator and improve the maximum wind energy capture of wind turbine, so as to further improve the utilization efficiency of wind energy.INDEX TERMS Permanent magnet synchronous wind power generation system, saturation compensation, adaptive sliding mode control, port-controlled Hamiltonian system, coordination control.

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Section: Controllers Design a Adaptive Sliding Mode Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anti-Saturation Coordination Control of Permanent Magnet Synchronous Wind Power System

Sun

Chen

et al. 2023

IEEE Access

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“…Figures 2 and 5 show that once the disturbance is gone, the state of the system rapidly converges to the origin. The simulation results show that the adaptive H ' controller (equation (26)) and H ' controller (equation (27)) are extremely effective at mitigating external disturbances. Moreover, it is obvious from Figures 2 and 5 that the H ' controller (equation ( 27)) makes the state amplitude of closed-loop be smaller than that of the adaptive H ' controller (equation ( 26)) after adding the same interference, and makes the convergence speed of the system's state be faster than that of the adaptive H ' controller when the interference disappears, while the adaptive H ' controller (equation ( 26)) can estimate the unknown parameter perturbations.…”

Section: Illustrative Examplementioning

confidence: 99%

“…23 In recent years, the Hamiltonian function is widely studied and applied in practical control problems, and many effective controllers are designed in previous works. 24–27 In general, there are two approaches to solve nonlinear H ∞ control problems: one is based on Hamiltonian function method in Lu et al 24 and differential game theory in Soravia, 28 and the other is based on the real bounded lemma developed in Chen and Nurdin 29 and Haddad and Lanchares. 30 Dissipation matrix approach is developed in Sun et al 12,31 based on Hamiltonian function method, and it has more extensively application in the control design of NSSs because the approach does not need to decompose the state of NSSs.…”

Section: Introductionmentioning

confidence: 99%

Robust stabilization and adaptive H_∞ control of nonlinear singular systems via static output feedback

Sun

Yang

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article studies robust stabilization and adaptive [Formula: see text] control problems for a class of continuous-time nonlinear singular systems by static output feedback. First, under sufficient conditions which the system is impulse controllable, the static output feedback controller is designed, and the stabilization problem of the system is discussed. Second, the [Formula: see text] and adaptive [Formula: see text] controllers are designed for the continuous-time nonlinear singular systems with external disturbances. Compared with the existing conclusions, the controller can be designed for more nonlinear singular systems. Finally, an example of a nonlinear singular circuit is given, and the simulation results verify the validity of the proposed controllers.

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“…In recent years, many papers consider the stability of nonlinear systems with time delays and input saturation constraints in the framework of PH systems [5,28,33,35]. Cao et al proposed delay-dependent and delay-independent stability conditions for linear time-delay systems with input saturation by using the Lyapunov-Krasovskii functional method in [3].…”

Section: Introductionmentioning

confidence: 99%

Stability of port-Hamiltonian systems with mixed time delays subject to input saturation

Chen,

Liu

2023

NAMC

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In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded. By introducing the output feedback control law and utilizing serval Lyapunov–Krasovskii functionals, we present three delay-dependent stability criteria in terms of the linear matrix inequality. Meanwhile, we use Wirtinger’s inequality, constraint conditions, and Lyapunov–Krasovskii functionals of triple and quadruple integral form to obtain less conservative results. Some numerical examples demonstrate and support our results.

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Output tracking of time-delay Hamiltonian descriptor systems under saturation constraints

Cited by 6 publications

References 42 publications

Anti-Saturation Coordination Control of Permanent Magnet Synchronous Wind Power System

Anti-Saturation Coordination Control of Permanent Magnet Synchronous Wind Power System

Robust stabilization and adaptive H_∞ control of nonlinear singular systems via static output feedback

Stability of port-Hamiltonian systems with mixed time delays subject to input saturation

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Output tracking of time-delay Hamiltonian descriptor systems under saturation constraints

Cited by 6 publications

References 42 publications

Anti-Saturation Coordination Control of Permanent Magnet Synchronous Wind Power System

Anti-Saturation Coordination Control of Permanent Magnet Synchronous Wind Power System

Robust stabilization and adaptive H∞ control of nonlinear singular systems via static output feedback

Stability of port-Hamiltonian systems with mixed time delays subject to input saturation

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Product

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Robust stabilization and adaptive H_∞ control of nonlinear singular systems via static output feedback